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Parallel curve
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== Further examples == [[File:Evolvente-kreis.svg|thumb|Involutes of a circle]] *The [[involute]]s of a given curve are a set of parallel curves. For example: the involutes of a circle are parallel spirals (see diagram). And:<ref name="farouki-slides">http://faculty.engineering.ucdavis.edu/farouki/wp-content/uploads/sites/41/2013/02/Introduction-to-PH-curves.pdf {{Webarchive|url=https://web.archive.org/web/20150605214546/http://faculty.engineering.ucdavis.edu/farouki/wp-content/uploads/sites/41/2013/02/Introduction-to-PH-curves.pdf |date=2015-06-05 }}, p. 16 "taxonomy of offset curves"</ref> * A [[parabola]] has as (two-sided) offsets [[rational curve]]s of degree 6. * A [[hyperbola]] or an [[ellipse]] has as (two-sided) offsets an [[algebraic curve]] of degree 8. * A [[Bézier curve]] of degree {{mvar|n}} has as (two-sided) offsets [[algebraic curve]]s of degree {{math|4''n'' − 2}}. In particular, a cubic Bézier curve has as (two-sided) offsets algebraic curves of degree 10.
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